Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50286o |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-4457006750263248 = -1 · 24 · 34 · 179 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -4 3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1017864,-395697063] |
[a1,a2,a3,a4,a6] |
j |
-4831694578428193/184650192 |
j-invariant |
L |
2.4048948962951 |
L(r)(E,1)/r! |
Ω |
0.07515296551107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2958b1 |
Quadratic twists by: 17 |